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Correlation measures of the Calogero–Sutherland model at T=0

✍ Scribed by Rudolf A. Römer; Paul Ziesche


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
85 KB
Volume
18
Category
Article
ISSN
1386-9477

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✦ Synopsis


We are exploiting the results of the exact solution for the ground state of the one-dimensional spinless quantum gas of Fermions with =x 2 ij particle-particle interaction, and analyze particle-number uctuations for = -1 4 ; 0; and 2. These are suppressed by repulsive interaction ( ¿ 0), enhanced by attraction ( ¡ 0), and may therefore measure the kind and strength of correlation. Other recently proposed purely quantum-kinematical measures of the correlation strength arise from the small-separation behavior of the pair density or from the non-idempotency of the momentum distribution and its large-momenta behavior.


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